Math Problem Statement

What is the sum of 2/6 + 7/6?

Solution

The problem is asking for the sum of 26+76\frac{2}{6} + \frac{7}{6}.

Step-by-Step Solution:

  1. Both fractions have the same denominator (66). So, you can add the numerators directly: 26+76=2+76=96.\frac{2}{6} + \frac{7}{6} = \frac{2 + 7}{6} = \frac{9}{6}.

  2. Simplify the fraction: 96=32=112.\frac{9}{6} = \frac{3}{2} = 1 \frac{1}{2}.

Final Answer:

The correct option is 1121 \frac{1}{2} or 32\frac{3}{2}, which matches the answer 1361 \frac{3}{6} after reducing the mixed fraction.

Let me know if you'd like further clarification!


Expanding Knowledge:

Here are 5 related questions:

  1. How can you add fractions with different denominators?
  2. What are the steps to convert an improper fraction into a mixed number?
  3. Why is it important to simplify fractions?
  4. Can you explain why 96\frac{9}{6} simplifies to 32\frac{3}{2}?
  5. How do you verify if a fraction is in its simplest form?

Tip:

Always check if your final fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Simplifying Fractions

Formulas

Addition of fractions with the same denominator: a/b + c/b = (a+c)/b
Simplification of fractions: gcd(numerator, denominator)

Theorems

Fundamental Theorem of Arithmetic (for simplifying fractions)

Suitable Grade Level

Grade 5-7